TL;DR
Yes. No law requires you to hire a chartered accountant (expert-comptable) to set up a SASU, or to run it afterwards. Some free formation offers are tied to an accounting subscription; with LegalRapide, the Essentiel and Rapide plans require no subscription. 
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What remains mandatory without a chartered accountant
- Keep accounts and prepare annual financial statements.
- Approve the accounts within six months of the year-end and file them with the greffe.
- File VAT and corporate income tax returns.
When a chartered accountant is useful
As soon as you pay yourself a salary, have employees or want to optimise the mix of salary and dividends. You can also keep your current chartered accountant.
Written by Razvan Toma, founder of LegalRapide. How we check our figures · LinkedIn